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48156672 = 21233919
BaseRepresentation
bin1011011110110…
…1000000000000
310100121121112110
42313231000000
544312003142
64440055320
71123216314
oct267550000
9110547473
1048156672
1125201903
1214164540
139c91395
146577b44
15436399c
hex2ded000

48156672 has 52 divisors (see below), whose sum is σ = 128434880. Its totient is φ = 16048128.

The previous prime is 48156653. The next prime is 48156709. The reversal of 48156672 is 27665184.

It is a self number, because there is not a number n which added to its sum of digits gives 48156672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10329 + ... + 14247.

Almost surely, 248156672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64217440).

48156672 is an abundant number, since it is smaller than the sum of its proper divisors (80278208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48156672 is an equidigital number, since it uses as much as digits as its factorization.

48156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3924 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 48156672 is about 6939.5008466027. The cubic root of 48156672 is about 363.8190945847.

It can be divided in two parts, 48156 and 672, that added together give a triangular number (48828 = T312).

The spelling of 48156672 in words is "forty-eight million, one hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3919 4096 6144 7838 11757 12288 15676 23514 31352 47028 62704 94056 125408 188112 250816 376224 501632 752448 1003264 1504896 2006528 3009792 4013056 6019584 8026112 12039168 16052224 24078336 48156672